Pith Number

pith:X4BIVKOR

pith:2018:X4BIVKOR2CC3RSPG5DJOKT6S6Z

not attested not anchored not stored refs pending

Sum-of-Squares meets Nash: Optimal Lower Bounds for Finding any Equilibrium

Pravesh K. Kothari, Ruta Mehta

arxiv:1806.09426 v1 · 2018-06-25 · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4BIVKOR2CC3RSPG5DJOKT6S6Z}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:12:27.343011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf028aa9d1d085b8c9e6e8d2e54fd2f67caa41b1dafca87910a230b3ad895c98

Aliases

arxiv: 1806.09426 · arxiv_version: 1806.09426v1 · doi: 10.48550/arxiv.1806.09426 · pith_short_12: X4BIVKOR2CC3 · pith_short_16: X4BIVKOR2CC3RSPG · pith_short_8: X4BIVKOR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/X4BIVKOR2CC3RSPG5DJOKT6S6Z \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bf028aa9d1d085b8c9e6e8d2e54fd2f67caa41b1dafca87910a230b3ad895c98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e98dc43c57cf2cb4935bc8451262fb74f67f8876273d877d48deb4888526c40b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2018-06-25T12:58:15Z",
    "title_canon_sha256": "fc6c803c295c5338d4d3c303cd9feb257cf51bf546fec7d37bde1af7368b4c21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09426",
    "kind": "arxiv",
    "version": 1
  }
}